Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
Artikel i vetenskaplig tidskrift, 2020

We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter relativistic algebra in D dimensions. These algebras are also shown to be embedded in different affine Kac-Moody algebras. In the three-dimensional case, we construct Chern-Simons actions invariant under these symmetries. This leads to a sequence of non-relativistic gravity theories, where the simplest examples correspond to extended Newton-Hooke and extended (post-)Newtonian gravity together with their Carrollian counterparts.

Space-Time Symmetries

Global Symmetries

p-branes

Classical Theories of Gravity

Författare

Joaquim Gomis

Universitat de Barcelona

Axel Kleinschmidt

Max-Planck-Gesellschaft

International Solvay Institute for Physics and Chemistry

Jakob Palmkvist

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Algebra och geometri

Patricio Salgado-Rebolledo

Universidad de Valparaíso

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2020 2 9

Ämneskategorier

Algebra och logik

Geometri

Annan fysik

Matematisk analys

DOI

10.1007/JHEP02(2020)009

Mer information

Senast uppdaterat

2022-04-06